What is the formula for arc length with radius and theta

The video tutorial explains the concept of angles as a measure of rotation between two rays, using Theta in degrees and radians. It introduces radians in the context of circles and defines arc length as the length of a radius wrapped around a circle. The formula for arc length, s = r * Theta, is presented, emphasizing that Theta must be in radians. The tutorial concludes with a practical example to calculate arc length using the given formula.

What is an angle primarily a measure of?

• The area of a circle

• The length of a line segment

• The rotation between two rays

• The distance between two points

What is the relationship between radians and a circle?

• Radians measure the diameter of a circle

• Radians measure the length of the radius wrapped around the circle

• Radians are unrelated to circles

• Radians measure the area of a circle

What is the formula for calculating arc length?

• s = r / Theta

• s = r * Theta

• s = r + Theta

• s = r - Theta

In the arc length formula, what must the angle Theta be measured in?

• Revolutions

• Gradians

• Radians

• Degrees

If Theta is 75 degrees and the radius is 2.5, what is the first step to find the arc length?

• Multiply the radius by 75

• Convert degrees to radians

• Divide the radius by 75

• Use the formula directly with degrees